Continuity of maximal monotone sets in Banach space
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- by R. E. Showalter PDF
- Proc. Amer. Math. Soc. 42 (1974), 543-546 Request permission
Abstract:
A monotone set-valued map of a Banach space to its dual is shown to map line segments into bounded sets. It follows that convergent sequences are mapped into bounded sets and, when the space is separable or reflexive, this imposes continuity requirements on maximal monotone maps.References
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Additional Information
- © Copyright 1974 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 42 (1974), 543-546
- MSC: Primary 47H05
- DOI: https://doi.org/10.1090/S0002-9939-1974-0333850-5
- MathSciNet review: 0333850